Least Common Multiple of 294 and 295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 294 and 295 the smallest integer that is 86730 that is divisible by both numbers.

Least Common Multiple (LCM) of 294 and 295 is 86730.

LCM(294,295) = 86730

LCM of 294 and 295

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 294 and 295

LCM of 294 and 295 is 86730

Least common multiple can be found by multiplying the highest exponent prime factors of 294 and 295. First we will calculate the prime factors of 294 and 295.

Prime Factorization of 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

Prime Factorization of 295


5 295
59 59
1

Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:

295 = 51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 294 and 295.

LCM(294,295) = 21×31×51×72×591
LCM(294,295) = 86730

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Least Common Multiple of 294 and 295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 294 and 295, than apply into the LCM equation.

GCF(294,295) = 1
LCM(294,295) = ( 294 × 295) / 1
LCM(294,295) = 86730 / 1
LCM(294,295) = 86730

Properties of LCM 294 and 295

(i) The LCM of 295 and 294 is associative

LCM of 294 and 295 = LCM of 295 and 294

Related Least Common Multiples of 294

Related Least Common Multiples of 295

Frequently Asked Questions on LCM of 294 and 295

1. What is the LCM of 294 and 295?

Answer: LCM of 294 and 295 is 86730.

2. What are the Factors of 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

3. What are the Factors of 295?

Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.

4. How to Find the LCM of 294 and 295?

Answer:

Least Common Multiple of 294 and 295 = 86730

Step 1: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 295

295 = 5 x 59

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 86730 = 2 x 3 x 5 x 7 x 7 x 59

Step 4: Therefore, the least common multiple of 294 and 295 is 86730.